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Finding the Fourth Proportional to 2,077.79, 2,864.72 and 1,745.48

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Solution

The fourth proportional to 2,077.79, 2,864.72 and 1,745.48 is: 2,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.79 : 2,864.72 = 1,745.48 : x
  2. Step 2: Convert to fraction form
    2,077.79/2,864.72 = 1,745.48/x
  3. Step 3: Cross multiply
    2,077.79x = 2,864.72 × 1,745.48
  4. Step 4: Simplify right side
    2,077.79x = 5,000,322.99
  5. Step 5: Solve for x
    x = 5,000,322.99/2,077.79
  6. Step 6: Final answer
    x = 2,406.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.